Sigma Series www mathsrevision com Adv Higher Sigma

  • Slides: 11
Download presentation
Sigma Series www. mathsrevision. com Adv. Higher Sigma Notation Series 18 -Dec-21 Created by

Sigma Series www. mathsrevision. com Adv. Higher Sigma Notation Series 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series The Sigma notation is used as a more concise way of writing

Sigma Series The Sigma notation is used as a more concise way of writing a series. (i. e. the sum of all k 2 for k = 1 to k = n ) 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series In general Is a series with the first term f(1) , second

Sigma Series In general Is a series with the first term f(1) , second f(2), third f(3). . . and last f(n). 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series Example : Write the following series in full. etc. . 18 -Dec-21

Sigma Series Example : Write the following series in full. etc. . 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series Example : Write the following series in full. etc. . 18 -Dec-21

Sigma Series Example : Write the following series in full. etc. . 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series Write the following series in sigma notation. This is an Arithmetic series,

Sigma Series Write the following series in sigma notation. This is an Arithmetic series, uk = a + (k – 1)d a= 1 298 = 3 k - 2 uk = 1 + 3(k – 1) uk = 3 k - 2 18 -Dec-21 and d = 3 Created by Mr. Lafferty Maths Dept. k = 100

Sigma Series Exercise 4 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series Exercise 4 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series The sums of certain finite series can be found or proved by

Sigma Series The sums of certain finite series can be found or proved by a number of methods. For example This can be prove using 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Split up ! Sigma Series Example : Evaluate 18 -Dec-21 Created by Mr. Lafferty

Split up ! Sigma Series Example : Evaluate 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Split up ! Sigma Series Example : Evaluate 18 -Dec-21 Created by Mr. Lafferty

Split up ! Sigma Series Example : Evaluate 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series Exercise 5 18 -Dec-21 Created by Mr. Lafferty Maths Dept.

Sigma Series Exercise 5 18 -Dec-21 Created by Mr. Lafferty Maths Dept.